Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.

Step

Work

Reasoning

−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify

Question

Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.




Step

Work 

Reasoning


 −8.3 + 9.2 − 4.4 + 3.7 Original problem 
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse 
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property 
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property 
4 −8.3 + 17.3 Simplify 
5 9 Simplify